Convert from expanded form

Learning Objectives Identify the place value of each digit in an expanded form expression. Correctly perform the multiplication of digits by their respective place values. Accurately combine the products of place values to form a standard number. Convert whole numbers from expanded form to standard form, including those with missing place values. Convert decimal numbers from expanded form to standard form. Explain the relationship between expanded form and standard form. Ever seen a super long number written out like a puzzle? 🧩 Today, we'll learn how to put those puzzle pieces back together to make a regular number! In this lesson, you'll discover how to take a number written in its 'stretched out' or expanded form and convert it back into its compact,...

TermDefinitionExample Expanded FormA way of writing a number that shows the value of each digit. It's like 'stretching out' a number to show all its parts.The number 345 in expanded form is $300 + 40 + 5$ or $ (3 \times 100) + (4 \times 10) + (5 \times 1) $. Standard FormThe usual way of writing a number using only digits. This is how you typically see numbers written.The number 'three hundred forty-five' in standard form is 345. Place ValueThe value of a digit based on its position in a number. Each position (ones, tens, hundreds, tenths, hundredths, etc.) has a specific value.In 528, the digit 5 is in the hundreds place, so its value is 500. DigitA single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).In the number 7,201, the digits are 7, 2, 0, and...

Whole Number Conversion Rule To convert a whole number from expanded form to standard form, identify the product of each digit and its place value, then add all these products together: $ (A \times 10^n) + (B \times 10^{n-1}) + ... + (Z \times 10^0) $ This rule applies when you have an expanded form where each term is a digit multiplied by a power of 10 (like 1, 10, 100, 1000). You perform the multiplications first, then sum the results. Decimal Number Conversion Rule To convert a decimal number from expanded form to standard form, identify the product of each digit and its place value (including negative powers of 10 for decimals), then add all these products together, aligning the decimal points: $ (A \times 10^n) + ... + (Z \times 10^0) + (X \times 10^{-1}) + (Y \times 10^{...